Aging processes in reversible reaction-diffusion systems

TL;DR

This paper investigates the aging dynamics in reversible reaction-diffusion systems, deriving exact expressions for correlation and response functions, revealing simple aging behavior and dependence on perturbation type.

Contribution

It provides the first analytical derivation of aging properties in reversible reaction-diffusion models from Langevin equations.

Findings

Exact two-time correlation functions derived

Autoresponse functions depend on perturbation type

Revealed simple aging behavior in these systems

Abstract

Reversible reaction-diffusion systems display anomalous dynamics characterized by a power-law relaxation toward stationarity. In this paper we study in the aging regime the nonequilibrium dynamical properties of some model systems with reversible reactions. Starting from the exact Langevin equations describing these models, we derive expressions for two-time correlation and autoresponse functions and obtain a simple aging behavior for these quantities. The autoresponse function is thereby found to depend on the specific nature of the chosen perturbation of the system.